The BV solution of the parabolic equation with degeneracy on the boundary

• Autorzy: Huashui Zhan , Shuping Chen
• Języki publikacji: EN

Abstrakty

EN

Consider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.

Słowa kluczowe

EN

Local BV Solution; Boundary degeneracy; Partial boundary condition; Stability

Kategorie tematyczne

• 35R35: Free boundary problems
• 35L85: Linear hyperbolic unilateral problems and linear hyperbolic variational inequalities
• 35L65: Conservation laws

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 272-282

Daty

wydano

2016-01-01

otrzymano

2016-01-15

zaakceptowano

2016-04-09

online

2016-05-10

Twórcy

autor

Huashui Zhan

• School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, ,

autor

Shuping Chen

• School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, ,

Identyfikatory

DOI

10.1515/math-2016-0025